You can certainly do this, but you would use your application layer to handle the retrieval of the current block hash from MultiChain and publication in the bitcoin blockchain. You can use getblockchaininfo to retrieve the latest block hash from MultiChain, then you can use another instance of MultiChain (as a node on the bitcoin network) to publish the hash using sendwithdata(from). Alternatively, you can use Bitcoin Core to publish the hash on the bitcoin blockchain, along with one of these libraries we developed for PHP and Python:
Bear in mind of course that, to publish anything on the bitcoin blcokchain, you'll need to purchase bitcoin and spend it, as transaction fees. The going rate for fast confirmations is around 0.0004 BTC, or 45 cents (at today's exchange rate), per bitcoin transaction.